6925568400 has 405 divisors, whose sum is σ = 25717377699. Its totient is φ = 1725649920.

The previous prime is 6925568383. The next prime is 6925568411. The reversal of 6925568400 is 48655296.

The square root of 6925568400 is 83220.

It is a perfect power (a square), and thus also a powerful number.

6925568400 is a `hidden beast` number, since 6 + 92 + 556 + 8 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37896336 + 6887672064 = 6156^2 + 82992^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 94870764 + ... + 94870836.

Almost surely, 2^6925568400 is an apocalyptic number.

6925568400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6925568400 is the 83220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6925568400

6925568400 is an abundant number, since it is smaller than the sum of its proper divisors (18791809299).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6925568400 is a wasteful number, since it uses less digits than its factorization.

6925568400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The cubic root of 6925568400 is about 1906.1268881882.

The spelling of 6925568400 in words is "six billion, nine hundred twenty-five million, five hundred sixty-eight thousand, four hundred".